How Would You Solve a System of Equations

1) Solve the system of linear equations.

• (-1, 5, 2)

• (1, -5, -2)

• no solution

• infinitely many solutions

3) Solve the system of linear equations.

• (3, 1, -5)

• (-3, 1, -1)

• no solution

• infinitely many solutions

4) Solve the system of linear equations.

• (1, -3, -4)

• (-1, 3, -4)

• no solution

• infinitely many solutions

5) Solve the system of linear equations.

• (1, 0, -1)

• (-2, 1, 0)

• no solution

• infinitely many solutions

Solve the system.

• (1, 2, -2)

• (1, -3, -2)

• (-1, 3, 2)

• No Solution

Solve the system.

• (3, -2, 4)

• (2, -3, 1)

• (-3, 2, -1)

• Infinitely many solutions

Solve the system. 

• (5, -6, 3)

• (2, 3, -1)

• (-4, 2, 5)

• No Solution

Solve the following system of equations.

• (15, 120, 45)

• (120, 15, 45)

• (15, -15, 0)

• (-15, 15, 0)

Solve the system.

• (2, -2, 3)

• (2, 1, 4)

• (-2, 2, -3)

• No Solution

In this system

x+3y=9

4x-2y=-6

we have figured out that x=9-3y, and y=3.

Complete the steps to solve for x:

x=9-3(​ (a)   )

x=9-​ (b)  

x=​ (c)  

The solution to the system is (​ (d)   ,​ (e)   ).

• 3

• 9

• 0

• y

• x

• y=3

• 3y

• -9

• 18